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Question

The number of planks of dimensions $$(4$$ m $$\times 50$$ cm $$\times 20$$ cm$$)$$ that can be stored in a pit which is $$16$$ m long, $$12 $$ m wide and $$4$$ m deep is


A
1900
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B
1920
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C
1800
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D
1840
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Solution

The correct option is B $$1920$$
Given, number of planks of dimensions $$(4$$m $$\times 50$$ cm $$\times 20$$ cm $$)$$
Volume of planks $$=lbh=400(50)20=400000 $$ cm$$^3$$
Volume of pits $$=1600(1200)400=768000000$$ cm$$^3$$
Number of planks $$=\dfrac{786000000}{400000}=1920 $$

Mathematics

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